Article Dans Une Revue Communications in Partial Differential Equations Année : 2025

Potential flows away from stagnation in infinite cylinders

Résumé

Steady incompressible potential flows of an inviscid or viscous fluid are considered in infinite N-dimensional cylinders with tangential boundary conditions. We show that such flows, if away from stagnation, are constant and parallel to the direction of the cylinder. This means equivalently that a harmonic function whose gradient is bounded away from zero in an infinite cylinder with Neumann boundary conditions is an affine function. The proof of this rigidity result uses a combination of ODE and PDE arguments, respectively for the streamlines of the flow and the harmonic potential function.

Fichier principal
Vignette du fichier
hamel-karakhanyan.pdf (349.34 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-04320798 , version 1 (04-12-2023)
hal-04320798 , version 2 (20-02-2025)

Licence

Identifiants

Citer

François Hamel, Aram Karakhanyan. Potential flows away from stagnation in infinite cylinders. Communications in Partial Differential Equations, 2025. ⟨hal-04320798v2⟩
176 Consultations
359 Téléchargements

Altmetric

Partager

  • More